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Simplifying 5 + -3w + 12 = w + -7 Reorder the terms: 5 + 12 + -3w = w + -7 Combine like terms: 5 + 12 = 17 17 + -3w = w + -7 Reorder the terms: 17 + -3w = -7 + w Solving 17 + -3w = -7 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 17 + -3w + -1w = -7 + w + -1w Combine like terms: -3w + -1w = -4w 17 + -4w = -7 + w + -1w Combine like terms: w + -1w = 0 17 + -4w = -7 + 0 17 + -4w = -7 Add '-17' to each side of the equation. 17 + -17 + -4w = -7 + -17 Combine like terms: 17 + -17 = 0 0 + -4w = -7 + -17 -4w = -7 + -17 Combine like terms: -7 + -17 = -24 -4w = -24 Divide each side by '-4'. w = 6 Simplifying w = 6
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